Application Research of Bootstrap Method in Small Sample Measured Data Reduction of Random Vibration Environment
Received:June 22, 2013  Revised:September 01, 2013
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DOI:10.7643/issn.1672-9242.2013.05.015
KeyWord:bootstrap method  small sample  data reduction
        
AuthorInstitution
ZHANG Jian-jun China Aero-polytechnology Establishment,Beijing,China
SUN Jian-yong China Aero-polytechnology Establishment,Beijing,China
CHANG Hai-juan China Aero-polytechnology Establishment,Beijing,China
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Abstract:
      Traditional normal upper tolerance limit method is not suitable for statistical reduction of measured small sample data in determination of vibration environmental condition of platform. A calculation method to statistically reduce vibration environmental condition by using Bootstrap method resampling on measured specimen. Upper tolerance limit of test data with normal distribution was estimated using Bootstrap method. The applicability of confidence interval estimation methods was verified through comparison with true values. Bias-corrected bootstrap method and bootstrap-t method were put forward for statistical reduction of measured small sample data. The upper tolerance limits of vibration were estimated and compared by the above method and the traditional computation methods using flight measurements of some aircraft.
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